脆性基体复合材料层板弯曲破坏的数值模拟

脆性基体复合材料层板弯曲破坏的数值模拟 NUMERICAL SIMULATION OF BENDING RUPTURE FOR COMPOSITE LAMINATED PLATE WITH BRITTLE MATRIX 沈成武 Shen Chengwu 1 2 first-author 羿旭明 Yi Xuming 1 2 武汉大学数学系 武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 武汉大学数学系,武汉,430072 武汉大学数学系,武汉,430072 讨论了复合材料层板的弯曲破坏问题,纤维层是正交异性弹性体,而基体为脆性损伤材料。提出了一种脆性损伤模型,虽是各向同性连续损伤模型,但利用等效损伤应变的定义,可以区分拉、压和剪切对损伤的不同响应。用有限元法数值模拟了如下现象,一旦基体出现临界损伤,弯曲载荷则从最大值急速下降,同时基体的临界损伤区很快扩展,并且发生局部纤维断裂,从而使复合材料层板几乎失去了承弯能力,整体呈脆性特性。为便于了解破坏过程,给出了若干状态时板内的应力等值线分布图。 In this paper the bending rupture of a composited laminated plate is investi-gated. The fiber layer is assumed to be orthotropic elasticity and the matrix is brittle damage material. A damage model for brittle materials subjected to arbitrary stress is developed. Al-though this is an isotropic continuum damage model,by using the difinition of the equivalent damage strain, the different damage responses from tensile , compressive and shear loading can be distinguished. Using FEM these phenomena are simulated numerically. Along with the occurrence of a matrix critical damage,the bending load decresed rapidly from maximal one, soon afterwards a critical damage rigion in the matrix expanded and a patch of fiber breaked, then the compostite plate almost lose its bearing capacity and behave a character of fully brit-tle rupture. For discovery of the rupture process some stress distributions of this process are pictured. 损伤 脆性材料 复合材料层板 弯曲破坏 damage brittle matrial composite laminated plate bending rupture O346.1 国家自然科学基金资助的课题 1994-06-01 2021-04-01 6